Question

Please help me with this question

Answer 1

1.03

Explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found
`A = 2(1+√(2))a^2`. Substitute a = 0.5.

`A = 2(1+√(2))(0.5^2)\\A = 4.828...(0.25)\\A = 1.21`

The volume is 1.21*2.5 = 3.025.

However, there are three holes drilled out half way which each have volume 0.06.

The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

V = π(0.125)²(1.25) = 0.06.

Since there are 3, they equal 3*0.06 = 0.18.

Subtract this from the volume.

1.21 - 0.18 = 1.03